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Published in 2021 at "Revista Matematica Complutense"
DOI: 10.1007/s13163-021-00386-y
Abstract: In this paper, we deal with the existence of positive solutions for semipositone (p,N)-Laplacian problems with critical Trudinger–Moser nonlinearities in a bounded domain: $$\begin{aligned} \left\{ \begin{array}{clll} -\varDelta _p u-\varDelta _N u=\lambda u^{N-1}e^{\beta u^{N'}} - \mu…
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Keywords:
critical trudinger;
semipositone laplacian;
solutions semipositone;
positive solutions ... See more keywords
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Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123568
Abstract: Abstract A class of Kirchhoff-type transmission problems with critical perturbation is studied. Unlike other studies on elliptical equations with critical growth, a ground-state solution is obtained using a perturbation method instead of verifying that the…
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Keywords:
perturbation;
transmission problems;
critical perturbation;
problems critical ... See more keywords
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Published in 2020 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2020.1.35
Abstract: This paper discusses a class of modified Kirchhoff-type transmission problems with critical perturbation. We establish an existence result of the ground-state solutions by using perturbation methods. Meanwhile, the limit properties of solution sequence are investigated.
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Keywords:
modified kirchhoff;
class modified;
critical perturbation;
problems critical ... See more keywords